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Finding the Third Proportional to 82,308,902 and 126,309,225

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Solution

The third proportional to 82,308,902 and 126,309,225 is: 193,831,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,308,902 : 126,309,225 = 126,309,225 : x
  2. Step 2: Convert to fraction form
    82,308,902/126,309,225 = 126,309,225/x
  3. Step 3: Cross multiply
    82,308,902x = 126,309,225 × 126,309,225
  4. Step 4: Simplify right side
    82,308,902x = 15,954,020,320,100,624
  5. Step 5: Solve for x
    x = 15,954,020,320,100,624/82,308,902
  6. Step 6: Final answer
    x = 193,831,042.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.